limit as x approaches 0+of (1+x)^{4/x}

Lösung

x \to 0 + lim ((1 + x)^{\frac{4}{x}})

e^{4}

Dezimale

54.59815 \dots

Schritte zur Lösung

x \to 0 + lim ((1 + x)^{\frac{4}{x}})

Wende Exponentenregel an

= x \to 0 + lim (e^{\frac{4}{x} l n (1 + x)})

Wende die Kettenregel für Grenzen an:

e^{4}

= e^{4}

\int \frac{x ^{2}}{5 - 4 x ^{2}} d x

x \to - \infty lim (\frac{1}{9} arctan (x))

\frac{d}{d x} (ln (3 x))

\int_{- 1}^{0} \frac{6}{1 + ( 2 x + 1 ) ^{2}} d x

\frac{\partial}{\partial y} (y e^{x y} + sin (y))